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Question:
if PA and PB are two tangents drawn from from an external point P to a circle with centre C with radius 4 cm . If PA is perpendicular to PB, then find length of the tangent .
Answer:

From figure,

CA is perpendicular to AP and CB is perpendicular to BP 

Again AC = BC = 4 (radius of the circle)

Also AP = PB = (Tangents from point P)

So, BPAC is a square.

=> AP = PB = BC = CA = 4 cm

So, length of tangents are 4 cm each

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